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White-light interferometry on rough surfaces--measurement uncertainty caused by surface roughness.

Pavel Pavlicek1, Ondrej Hýbl

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White-light interferometry struggles with optically rough surfaces, leading to questions about measured height and uncertainty. This study uses numerical simulations to investigate how surface roughness impacts white-light interferometry measurements.

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Area of Science:

  • Optical Metrology
  • Surface Characterization
  • Computational Physics

Background:

  • White-light interferometry (WLI) is a common technique for surface height measurement.
  • Optically rough surfaces present challenges for WLI, often failing to resolve lateral structure.
  • Significant height variations within a single resolution cell can exceed a quarter of the light's wavelength.

Purpose of the Study:

  • To determine the effective height measured by white-light interferometry on rough surfaces.
  • To quantify the impact of surface roughness on measurement uncertainty.
  • To address fundamental questions regarding WLI performance with non-ideal surfaces.

Main Methods:

  • Numerical simulations are employed to model WLI measurement processes.
  • Analysis includes the distribution of speckle intensity.
  • The influence of surface roughness and the spectral width of the light source are investigated.

Main Results:

  • Simulation results provide insights into the measured height on rough surfaces.
  • The study quantifies the relationship between surface roughness parameters and measurement uncertainty.
  • Understanding speckle intensity distribution is crucial for interpreting WLI data.

Conclusions:

  • White-light interferometry measures an effective height influenced by surface roughness and speckle statistics.
  • Surface roughness directly increases measurement uncertainty in WLI.
  • Numerical simulations are a valuable tool for understanding the limitations and behavior of WLI.